Question

Encuentra el valor de X aplicando propiedad distributiva.
ayuda, aunque sea en una
a) 2. (x - 3) = 10
b) (2 x + 3).2 = 22
c) (x + 4): 2 = 6
d) (x - 15): 3 = 6
e) 3. (x-1) = -18
f) (4x+5).3 = 3
g) (x+6):3 = -1
h) (x- 75): -5 =16

Answer 1

Respuesta:

$a)2 \times (x - 3) = 10 \\ 2x - 6 = 10 \\ 2x = 10 + 6 \\ 2x = 16 \\ x = \frac{16}{2} \\ x = 8$

$b)(2x + 3) \times 2 = 22 \\ 4x + 6 = 22 \\ 4x = 22 - 6 \\ 4x = 16 \\ x = \frac{16}{4} \\ x = 4$

$c)(x + 4) \div 2 = 6 \\ \frac{x}{2} + 2 = 6 \\ 2( \frac{x}{2} + 2 ) = 2 \times 6 \\ x + 4 = 12 \\ x = 12 - 4 \\ x = 8$

$d)(x - 15) \div 3 = 6 \\ \frac{x}{3} - 5 = 6 \\ 3( \frac{x}{3} - 5) = 3 \times 6 \\ x - 15 = 18 \\ x = 18 + 15 \\ x = 33$

$e)3(x - 1) = - 18 \\ 3x - 3 = - 18 \\ 3x = - 18 + 3 \\ 3x = - 15 \\ x = \frac{ - 15}{3} \\ x = - 5$

$f)(4x + 5) \times 3 = 3 \\ 12x + 15 = 3 \\ 12x = 3 - 15 \\12 x = - 12 \\ x = - 1$

$g)(x + 6) \div 3 = - 1 \\ \frac{x}{3} + 2 = - 1 \\ 3( \frac{x}{3} + 2 ) = - 1 \times 3 \\ x + 6 = - 3 \\ x = - 3 - 6 \\ x = - 9$

$h)( x - 75 ) \div ( - 5) = 16 \\ x - 75 = 16 \times ( - 5) \\ x - 75 = - 80 \\ x = - 80 + 75 \\ x = - 5$